Q
What is the determinant of a scaling matrix?

Answer & Solution

Answer: Option C
Solution:
The determinant of a scaling matrix depends on the scaling factor.
Related Questions on Average

What does a translation matrix look like?

A). [[1, 0], [0, 1]]

B). [[0, 1], [1, 0]]

C). [[1, 0, tx], [0, 1, ty], [0, 0, 1]]

D). [[1, tx], [ty, 1]]

Which matrix operation is used for rotation?

A). Addition

B). Subtraction

C). Multiplication

D). Division

Which matrix operation is used for shearing?

A). Addition

B). Subtraction

C). Multiplication

D). Division

How does a shearing matrix affect an object?

A). Stretches it along one axis

B). Changes its orientation

C). Skews it along one axis

D). Rotates it

What happens when you apply a translation matrix?

A). Rotates the object

B). Scales the object

C). Moves the object

D). Skews the object

What is the result of multiplying two orthogonal matrices?

A). A diagonal matrix

B). A non-orthogonal matrix

C). An identity matrix

D). A reflection matrix

Which transformation does a skewing matrix perform?

A). Rotation

B). Scaling

C). Shearing

D). Reflection

What does a rotation matrix for 90 degrees look like?

A). [[1, 0], [0, 1]]

B). [[0, -1], [1, 0]]

C). [[0, 1], [-1, 0]]

D). [[-1, 0], [0, -1]]

How does a negative determinant affect a transformation?

A). Inverts the transformation

B). Scales the transformation

C). Reflects the transformation

D). Rotates the transformation

How do you combine transformation matrices for multiple operations?

A). Add them together

B). Multiply them in reverse order

C). Multiply them in the given order

D). Divide them